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A large class of bound-state solutions of the Schrodinger equation via Laplace transform of the confluent hypergeometric equation

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dc.contributor.authorNogueira, P. H. F. [UNESP]
dc.contributor.authorCastro, A. S. de [UNESP]
dc.contributor.authorPimentel, D. R. M.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2018-11-26T16:32:49Z
dc.date.available2018-11-26T16:32:49Z
dc.date.issued2016-06-01
dc.description.abstractIt is shown that analytically soluble bound states of the Schrodinger equation for a large class of systems relevant to atomic and molecular physics can be obtained by means of the Laplace transform of the confluent hypergeometric equation. It is also shown that all closed-form eigenfunctions are expressed in terms of generalized Laguerre polynomials. The generalized Morse potential is used as an illustration.en
dc.description.affiliationUniv Estadual Paulista, Dept Fis & Quim, Campus Guaratingueta, BR-12516410 Guaratingueta, SP, Brazil
dc.description.affiliationUniv Sao Paulo, Inst Fis, Dept Fis Expt, BR-05508090 Sao Paulo, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Fis & Quim, Campus Guaratingueta, BR-12516410 Guaratingueta, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.format.extent1287-1295
dc.identifierhttp://dx.doi.org/10.1007/s10910-016-0621-z
dc.identifier.citationJournal Of Mathematical Chemistry. New York: Springer, v. 54, n. 6, p. 1287-1295, 2016.
dc.identifier.doi10.1007/s10910-016-0621-z
dc.identifier.fileWOS000374995000006.pdf
dc.identifier.issn0259-9791
dc.identifier.urihttp://hdl.handle.net/11449/161457
dc.identifier.wosWOS:000374995000006
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofJournal Of Mathematical Chemistry
dc.relation.ispartofsjr0,332
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectMorse potential
dc.subjectSingular potential
dc.subjectLaplace transform
dc.subjectConfluent hypergeometric equation
dc.titleA large class of bound-state solutions of the Schrodinger equation via Laplace transform of the confluent hypergeometric equationen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
dspace.entity.typePublication
unesp.author.lattes5811700083195480[2]
unesp.author.orcid0000-0001-8802-8806[2]
unesp.departmentFísica e Química - FEGpt

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Guaratinguetá - FEG - Faculdade de Engenharia e Ciências